ABSTRACT
An alternative to Kolmogorov’s definition of conditioning is an ax-
iomatic method with a view to simplifying the problems seen in the
preceding chapters. This approach, due to A. Re´nyi, is analyzed in this
chapter. Also the structure of such a conditional probability, its rep-
resentation as the ratio of two functions determined by a sigma-finite
measure, and some of its consequences are considered. Finally the dif-
ficulties noted in the last chapter surrounding the paradoxes and the
position of this new approach in the general theory are discussed.
